Interval-Valued Intuitionistic Fuzzy Yager Power Operators and Possibility Degree-Based Group Decision-Making Model
As an extended form of intuitionistic fuzzy set, the theory of interval-valued intuitionistic fuzzy set (IVIFS) can describe
fuzziness more flexibly. This study aims to develop a group decision-making model based on the distance measure, Yager
power aggregation operators and the possibility measure in the context of IVIFSs. For this purpose, new distance measure
is proposed to quantify the dissimilarity between two IVIFSs. In addition, comparison with existing distance measures is
performed to illustrate the efficiency of introduced measure. Combining the Yager’s triangular norms with the proposed
distance-based power operators, a series of interval-valued intuitionistic fuzzy (IVIF) Yager power aggregation operators
are introduced with their desirable properties. Moreover, a possibility measure is developed for pairwise comparisons of
IVIFSs, which overcomes the shortcomings of existing IVIF-score function, IVIF-accuracy function, and IVIF-possibility
measures. The developed possibility measure is further utilized to compute the weights of criteria. To prove the practicality
and effectiveness of introduced model, it is applied to a case study of manufacturing plant location selection problem with
IVIF information. Finally, sensitivity and comparative analyses are carried out to test the stability and robustness of the
proposed method under the setting of IVIFSs.
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